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Finding the Third Proportional to 902,018 and 1,940,116

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Solution

The third proportional to 902,018 and 1,940,116 is: 4,172,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,018 : 1,940,116 = 1,940,116 : x
  2. Step 2: Convert to fraction form
    902,018/1,940,116 = 1,940,116/x
  3. Step 3: Cross multiply
    902,018x = 1,940,116 × 1,940,116
  4. Step 4: Simplify right side
    902,018x = 3,764,050,093,456
  5. Step 5: Solve for x
    x = 3,764,050,093,456/902,018
  6. Step 6: Final answer
    x = 4,172,921.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.